Graphs of Rational functions

What is the point of discontinuity?

• x = -3

• (-3,2)

• x = -5

• (3,8)

Tags

CCSS.HSF-IF.C.7D

What creates a hole in the graph of a rational function?

• Crossing the x-axis

• An absence of dirt.

• Crossing a vertical asymptote.

• A factor that cancels out.

Tags

CCSS.HSF-IF.C.7D

What is the VERTICAL asymptote of this function? (click on the graph to enlarge)

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7D

How is this function transformed from the parent function?

• Translated left and up
• Translated right and up
• Translated left and down
• Translated right and down

Tags

CCSS.HSF.BF.B.3

What is the horizontal asymptote? 

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7D

What is the domain?

• All real numbers except 1/2

• All real numbers

• All real numbers except -4

• All real numbers except 4

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Describe the transformation.

• vertical compression by a factor of 2, reflect over x-axis, right 1, down 4

• vertical compression by a factor of .5, reflect over x-axis, left 1, down 4

• vertical stretch by a factor of .5, left 1, up 4

• vertical stretch by a factor of .5, reflect over x-axis, left 1, down 4

Tags

CCSS.HSF.BF.B.3

Describe the transformations of the function.

• Shift up by 2 units

  Reflected over the x-axis

• Shift down by 2 units

  Reflected over the y-axis

• Shift up by 2 units

  Reflected over the y-axis

• Shift left by 2 units

  Reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

What is the equation of the rational function graphed?

Tags

CCSS.HSF-IF.C.7D

Find the vertical asymptotes and holes of the function.

• Holes: None;

  VA: x = 1, -3

• Holes: x = -3;

  VA: x = 1

• Holes: x = -3, 1

  VA: None

• Holes: x = 1

  VA: x = -3

Tags

CCSS.HSF-IF.C.7D